From ebff0dc7f591b593a3888a905ca440b1ad69c527 Mon Sep 17 00:00:00 2001 From: Blayne Chard Date: Wed, 28 Aug 2024 10:23:26 +1200 Subject: [PATCH] docs: explain basemaps landing projection hacks (#3328) ### Motivation Basemaps uses some projection hackery to make maplibre work with NZTM2000Quad tiles add some documentation to explain how and why it is done ### Modifications document the fake nztm projection logic used --- .../projection_beehive_fakenztm2000.webp | Bin 0 -> 58164 bytes .../projection_beehive_nztm2000quad.webp | Bin 0 -> 58718 bytes .../static/projection_nztm2000quad_0_0_0.webp | Bin 0 -> 26626 bytes docs/operator-guide/xyz-projection.md | 56 ++++++++++++++++++ 4 files changed, 56 insertions(+) create mode 100644 docs/operator-guide/static/projection_beehive_fakenztm2000.webp create mode 100644 docs/operator-guide/static/projection_beehive_nztm2000quad.webp create mode 100644 docs/operator-guide/static/projection_nztm2000quad_0_0_0.webp create mode 100644 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zEu4fVPn9&R2$?+$`wPRoDW)~lI+X1&%GJ>V);uyu6U5R--Qm|?A)A;guIS4(*~e-* z+98K_Nsoy2{9O3%> zgD`lQ?AYl+Fv*~K!$9v(lfe^9(Dnzt&_zDW)9>``t=~mMM~EHgo_0nr2sA zmAt(4C3}GYsQ7~1Y6QMV)&>j&EN2YBqYl=lMmGP&qN~`&0n_Er+tWumBO7j)`Icn6 Zp#iRr9hir+_y7O_Nw^L^x0~1i001f;UHbq4 literal 0 HcmV?d00001 diff --git a/docs/operator-guide/xyz-projection.md b/docs/operator-guide/xyz-projection.md new file mode 100644 index 000000000..8f4ef17b5 --- /dev/null +++ b/docs/operator-guide/xyz-projection.md @@ -0,0 +1,56 @@ +# XYZ and projection math + +[NZTM2000Quad](https://github.com/linz/NZTM2000TileMatrixSet) is not supported by many third party tools especially inside the Vector Tile space. Often tools expect tiles to be served as `/{z}/{x}/{y}.mvt` and assume the projection is [WebMercatorQuad](https://docs.ogc.org/is/17-083r2/17-083r2.html#63). + +Basemaps uses the lack of built in projection information to allow tools to work with NZTM2000Quad tiles without knowing they are in a different tile matrix set. + +This is how basemaps provides [NZTM2000 EPSG:2193](https://epsg.io/2193) support to Aerial imagery on https://basemaps.linz.govt.nz using custom projection logic [basemaps/landing](https://github.com/linz/basemaps/blob/master/packages/landing/src/tile.matrix.ts#L56) + +## Background + +Tile mapping services use a [TileMatrixSet](https://docs.ogc.org/is/17-083r2/17-083r2.html) to describe where the tiles are meant to be positioned on the globe using a origin point and scale information per zoom level, most web mapping systems assume the tile matrix set is [WebMercatorQuad](https://docs.ogc.org/is/17-083r2/17-083r2.html#63). + +Assuming the target tile matrix set is similar to WebMercatorQuad, which has a square tile grid, with zoom levels increasing at a factor of 2 and starting with a single tile z:0, x:0, y:0 points can be projected into a "fake" version of the tile matrix set and then used with any tool that supports [EPSG:4326](https://epsg.io/4326) to [EPSG:3857](https://epsg.io/3857) math such as tippecanoe. + +## Process + +To create a fake projection from a tile grid the process is + +- Take a lat, lon pair ([EPSG:4326](https://epsg.io/4326) degrees) and project into the target projection (eg [EPSG:2193](https://epsg.io/2193)) +- Take the target x,y pair ([EPSG:2193](https://epsg.io/2193) metres) and project where in the tile grid the point would be located (px) +- Take the x,y pixels pair and assume it is now a WebMercatorQuad tile then project it to [EPSG:3857](https://epsg.io/3857) +- Take the x,y ([EPSG:3857](https://epsg.io/3857) metres) and project it into lat, lon ([EPSG:4326](https://epsg.io/4326)) + +The point is now in the fake projection and can be combined with applications that consume XYZ tiles + +## Example + +To convert an example point, such as the [Beehive]() is located at `-41.2784°`, `174.7767°` ([EPSG:4326](https://epsg.io/4326)) ![Beehive NZTM2000Quad](./static/projection_beehive_nztm2000quad.webp) + +Converting to [NZTM2000 EPSG:2193](https://epsg.io/2193) `x: 1748795.82...`, `y: 5428814.899...` + +Using NZTM2000Quad to convert to pixel cooridantes of tile z:0, x:0, y:0 yields `x:128.0001..., y:127.999...` + +![Beehive NZTM2000Quad](./static/projection_nztm2000quad_0_0_0.webp) + +converting to metres EPSG:3857 x: `21.883...`, y: `7.2815...` and then into lat,lon ([EPSG:4326](https://epsg.io/4326)) `0.0001...`, `0.0000...` as NZTM2000Quad is centred on the beehive the result of lat,lon approx 0,0 is expected! + +![Beehive FakeNZTM2000Quad](./static/projection_beehive_fakenztm2000.webp) + +These lat,lon coordinates can now be used in a system that works with XYZ tiles but assumes that they are in WebMercatorQuad + +### Example Code + +Using [@basemaps/geo](https://github.com/linz/basemaps/tree/master/packages/geo) + +````typescript +import {NZTM2000QuadTms, GoogleTms, Projection} from '@basemaps/geo' + +// Convert to NZTMQuad pixel location +const nztmXy = Projection.get(Nztm2000QuadTms).fromWgs84([174.7767, -41.2784]) +const nztmPixels = Nztm2000QuadTms.sourceToPixels(nztmXy[0], nztmXy[1],0) + +// Convert from pixels assuming EPSG:3857 WebMercatorQuad +const googleXy = GoogleTms.pixelsToSource(nztmPixels.x, nztmPixels.y, 0) +const latLon = Projection.get(GoogleTms).toWgs84([googleXy.x, googleXy.y])``` +````